Question

what is the measure of an interior angle ofregular polygon having 5 sides.​

Answer 1

Answer:

Given: 5-sided regular polygon

Regular means all of the sides and angles are congruent.

The interior angles of regular polygons sum to

(

n

−

2

)

⋅

180

where

n

= the number of sides.

The total sum of the interior angles of a 5-sided (pentagon) is

(

5

−

2

)

⋅

180

=

540

∘

Since there are 5 sides, there are also 5 angles.

Divide the total sum by

5

:

540

∘

5

=

108

∘

The central angles sum to

360

∘

.

Each central angle =

360

∘

5

=

72

∘

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

625 unit